不闭合磁芯的Tesla变压器初次级线圈电感估算

Estimation of primary and secondary coil inductances of Tesla transformer with open circuit magnetic core

对具有不闭合磁芯的Tesla变压器磁路进行了研究,计算了Tesla变压器磁路中磁力线分布以及各处磁感应强度分布,结果表明:在磁芯所在位置,磁力线主要集中在磁芯内部;在内外筒磁芯之间,磁力线主要分布在初次级线圈以外磁芯两端之间的空隙中。实际的Tesla变压器漏磁较小,分析了在没有漏磁的理想情况下Tesla变压器不闭合磁芯对初、次级线圈电感的影响,并给出了初、次级线圈电感的估算公式,利用估计公式得出的结果与实际测量对比,误差范围在15%以内,该公式在Tesla变压器设计和参数估算时不失为一种简便易行的处理方法。

The inductances of the primary and second coil are important parameters of Tesla transformer. Some elementary research is carried out on the magnetic circuit of Tesla transformer with open circuit magnetic core, including the calculation on magnetic force lines and the magnetic flux density distribution all over the Tesla transformer magnetic circuit. The result shows that, in the magnetic core regions, the magnetic force lines mainly concentrate inside magnetic cores, and in the region between inner and outer magnetic cores, the magnetic force lines mainly distribute between the primary/second coil ends and the magnetic core ends. Practically, the magnetic leakage o/Tesla transformer （Generally, the length of Tesla transformer＇s primary and sec- ondary coil is half of the length of magnetic core. ） is comparatively small. Given the assumption that there is no magnetic leak- age, we estimate the primary and secondary coil inductances of Tesla transformer. The error of the estimation is less than 15% compared to the measurement, which indicates that the arithmetic introduced in this paper is a convenient and advantageous method to solve the problem of design and parameters estimation of Tesla transformer.